Mixed spectral method for exterior problems of Navier-Stokes equations by using generalized Laguerre functions  

作　　者：焦裕建 郭本瑜 

机构地区：[1]Department of Mathematics,Shanghai Normal University [2]Scientific Computing Key Laboratory of Shanghai Universities [3]Division of Computational Science of E-institutes of Shanghai Universities

出　　处：《Applied Mathematics and Mechanics(English Edition)》2009年第5期561-574,共14页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China (No.10871131);the Science and Technology Commission of Shanghai Municipality (No.075105118);the Shanghai Leading Academic Discipline Project (No.S30405);the Fund for E-institutes of Shanghai Universities(No.E03004)

摘　　要：In this paper, we investigate the mixed spectral method using generalized Laguerre functions for exterior problems of fourth order partial differential equations. A mixed spectral scheme is provided for the stream function form of the Navier-Stokes equations outside a disc. Numerical results demonstrate the spectral accuracy in space.In this paper, we investigate the mixed spectral method using generalized Laguerre functions for exterior problems of fourth order partial differential equations. A mixed spectral scheme is provided for the stream function form of the Navier-Stokes equations outside a disc. Numerical results demonstrate the spectral accuracy in space.

关 键 词：spectral method exterior problems of fourth order Navier-Stokes equations 

分 类 号：O174.41[理学—数学]